含双挡板金属-电介质-金属波导耦合方形腔的独立调谐双重Fano共振特性

陈颖; 曹景刚; 谢进朝; 高新贝; 许扬眉; 李少华

doi:10.7498/aps.68.20181985

摘要

基于表面等离子激元在亚波长结构的传输特性, 设计了一种含双挡板金属-电介质-金属波导耦合两个方形腔的结构. 由F-P谐振腔产生的宽谱模式与两个方形谐振腔产生的两个窄谱模式发生干涉作用, 形成了独立调谐的双重Fano共振, 而且可以通过改变两个方形腔的大小及填充介质实现双重Fano共振的独立调谐. 基于耦合模理论, 定性分析了该结构产生双重Fano共振的机理. 利用有限元仿真的方法, 定量分析了结构参数对可独立调谐双重Fano共振和折射率传感特性的影响. 结果表明, 优化参数后该结构的灵敏度分别高达1020和1120 nm/RIU, FOM值分别高达3.59 × 10⁵和1.17 × 10⁶. 该结构可为超快光开关、多功能高灵敏度传感器和慢光器件的光学集成提供有效的理论参考.

关键词:

Abstract

A metal-dielectric-metal (MDM) waveguide coupling two square cavities with double baffles is designed in this paper based on the transmission characteristics of surface plasmon polaritons in subwavelength structure. The independent tuning of the dual Fano resonance is implemented by the interference between the wide-spectrum mode generated by the F-P (Fabry Perot) cavity and the two narrow-spectrum modes generated by the two square cavities. Moreover, the independent tuning of the dual Fano resonance can be achieved by changing the sizes of the two square cavities and filling medium. The coupled-mode theory (CMT) is adopted to analyze the transmission characteristics of the dual Fano resonance. The structure is simulated by the finite element method to quantitatively analyze the influence of structural parameters on the independent tuning of the dual Fano resonance and the refractive index sensing characteristics. The proposed sensor yields respectively sensitivity higher than 1020 nm/RIU and 1120 nm/RIU and a figure of merit of 3.29 × 10⁵ and 1.17 × 10⁶ by optimizing the geometry parameters. This structure provides an effective theoretical reference in the optical integration of ultra-fast optical switches, multi-function high-sensitivity sensors and slow-light devices.

Keywords:

作者及机构信息

1.
燕山大学电气工程学院, 测试计量技术与仪器河北省重点实验室, 秦皇岛　066004

2.
河北先河环保科技股份有限公司, 石家庄　050000

通信作者: 陈颖, chenying@ysu.edu.cn

基金项目: 国家自然科学基金(批准号: 61201112, 61475133)、河北省自然科学基金(批准号: F2016203188, F2016203245)、中国博士后基金(批准号: 2018M630279)、河北省高等学校科学技术研究项目(批准号: ZD2018243)资助的课题.

Authors and contacts

1.
Hebei Province Key Laboratory of Test/Measurement Technology and Instrument, School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China

2.
Hebei Sailhero Environmental Protection Hi-tech Co., Ltd., Shijiazhuang 050000, China

Corresponding author: Chen Ying, chenying@ysu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61201112, 61475133), the Natural Science Foundation of Hebei Province, China (Grant Nos. F2016203188, F2016203245), the China Postdoctoral Science Foundation (Grant No. 2018M630279), and the Scientific Research Foundation of the Higher Education Institutions of Hebei Province, China (Grant No. ZD2018243).

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参考文献

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施引文献

图 1 结构示意图和透射光谱图　(a)含F-P腔的MDM波导耦合方形腔结构；(b)透射光谱；(c)相位图

Fig. 1. Schematic diagram and transmission spectrum: (a) MDM waveguide coupled square cavity structure with F-P cavity;(b) transmission spectrum; (c) phase diagram.

下载: 全尺寸图片幻灯片

图 2 H_z场分布　(a) FR1波峰处的H_z场分布；(b) FR1波谷处的H_z场分布；(c) FR2波峰处的H_z场分布；(d) FR2波谷处的H_z场分布

Fig. 2. The H_z field distribution: (a) The H_z field distribution at the peak of FR1; (b) the H_z field distribution at the dip of FR1; (c) the H_z field distribution at the peak of FR2; (d) the H_z field distribution at the dip of FR2.

下载: 全尺寸图片幻灯片

图 3 参数l₁和l₂对传感特性的影响　(a)参数l₁对FR1的影响；(b)参数l₂对FR2的影响；(c)参数l₁ = l₂或l₁/l₂对Fano共振线型的影响

Fig. 3. Influence of parameters l₁ and l₂ on sensing characteristics: (a) Influence of parameters l₁ on the FR1; (b) influence of parameters l₂ on the FR2; (c) influence of parameters l₁ = l₂ or l₁/l₂ on the Fano resonance.

下载: 全尺寸图片幻灯片

图 4 参数L₁对传感特性的影响　(a)参数L₁对FR1的影响；(b)参数L₁对FR1的FOM值的影响；(c)参数L₁对FR2的影响；(b)参数L₁对FR2的FOM值的影响

Fig. 4. Influence of parameters L₁ on sensing characteristics: (a) Influence of parameters L₁ on the FR1; (b) influence of parameters L₁ on the FOM value of FR1; (c) influence of parameters L₁ on the FR2; (d) influence of parameters L₁ on the FOM value of FR2.

下载: 全尺寸图片幻灯片

图 5 参数g₁, g₂和折射率n₁, n₂对传感特性的影响　(a)参数g₁对FR1的影响；(b)参数g₂对FR2的影响；(c)折射率n₁对FR1的影响；(d)折射率n₂对FR2的影响

Fig. 5. Influence of parameters g₁, g₂ and refractive index n₁,n₂ on sensing characteristics: (a) Influence of parameters g₁ on the FR1; (b) influence of parameters g₂ on the FR2; (c) influence of refractive index n₁ on the FR1; (d) influence of refractive index n₂ on the FR2.

下载: 全尺寸图片幻灯片

[1]	Yankovich A B, Verre R, Olsén E, Persson A E O, Trinh V, Dovner G, Käll M, Olsson E 2017 ACS Nano 11 4265 Google Scholar
[2]	Zeng C, Cui Y D 2013 Opt. Commun. 290 188 Google Scholar
[3]	Huang L L, Chen X Z, Bai B F, Tan Q F, Jin G F, Zentgraf Z, Zhang S 2013 Light-Sci. Appl. 2 e70 Google Scholar
[4]	Jankovic N, Cselyuszka N 2018 Sensors 18 1 Google Scholar
[5]	Yan Z D, Wen X M, Gu P, Zhong H, Zhan P, Chen Z, Wang Z L 2017 Nanotechnol. 28 475203 Google Scholar
[6]	Khatir M, Granpayeh N 2013 J. Lightwave Technol. 31 1045 Google Scholar
[7]	陈颖, 罗佩, 田亚宁, 刘晓飞, 赵志勇, 朱奇光 2017 光学学报 37 0924002 Chen Y, Luo P, Tian Y N, Liu X F, Zhao Z Y, Zhu Q G 2017 Acta Opt. Sin. 37 0924002
[8]	Fu H X, Li S L, Wang Y L, Song G, Zhang P F, Wang L L, Yu L 2018 IEEE Photonics J. 10 1
[9]	Chen Z, Yu L 2014 IEEE Photonics J. 6 1
[10]	Li C, Li S L, Wang Y L, Jiao R Z, Wang L L, Yu L 2017 IEEE Photonics J. 99 1
[11]	Wang D Q, Yu X L, Yu Q M 2013 Appl. Phys. Lett. 103 824
[12]	Artar A, Yanik A A 2011 Nano Lett. 11 3694 Google Scholar
[13]	Wu C H, Khanikaev A, Shvets G 2011 Phys. Rev. Lett. 106 107403 Google Scholar
[14]	Zhang Z D, Wang H Y, Zhang Z Y 2013 Plasmonics 8 797 Google Scholar
[15]	Rakhshani M R, Mansouri-Birjandi M A 2016 IEEE Sens. J. 16 3041 Google Scholar
[16]	Kim J, Soref R, Buchwald W R 2010 Opt. Express 18 17997 Google Scholar
[17]	Zheng S, Ruan Z S, Gao S Q, Long Y, Li S M, He M G, Zhou N, Du J, Shen L, Cai X L, Wang J 2017 Opt. Express 25 25655 Google Scholar
[18]	Guo Z C, Wen K H, Hu Q Y, Lai W H, Lin J Y, Fang Y H 2018 Sensors 18 1348 Google Scholar
[19]	Lu H, Liu X, Mao D 2012 Phys. Rev. A 85 53803 Google Scholar
[20]	Piao X J, Yu S, Koo S, Lee K 2011 Opt. Express 19 10907 Google Scholar
[21]	Wu C, Ding H F, Huang T Y, Wu X, Chen B W, Ren K X, Fu S N 2017 Plasmonics 13 251
[22]	Wen K H, Hu Y H, Chen L, Zhou J Y, Liang L, Meng Z M 2016 Plasmonics 11 315 Google Scholar

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含双挡板金属-电介质-金属波导耦合方形腔的独立调谐双重Fano共振特性